Where A_{c} and A_{s} are crosssectional and surface area:
And θ(x) = t(x)–t_{a}
Heat balance equation if A_{c} constant and A_{s} ∞ P(x) linear:
Case 1: Heat Dissipation from an Infinitely Long Fin (l → ∞):
Case 2: Heat Dissipation from a Fin Insulated at the End Tip:
Case 3: Heat Dissipation from a Fin loosing Heat at the End Tip:
Fin efficiency is given by:
Note: The following must be noted for a proper fin selection:
To increase fins effectiveness, one can conclude:
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